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2D vectors

2D vectors

This page covers the following topics:

2D vectors are added by adding their corresponding coordinates or by connecting them β€œhead to toe”.

Adding 2D vectors

To subtract 2D vectors, reverse the direction of the vector that is subtracted or subtract corresponding coordinates.

Subtracting 2D vectors

Two vectors can be multiplied by using a dot product, which can be obtained by multiplying corresponding coordinates and adding the results up. Alternatively, cosine value of an angle between the vectors may be used.

Multiplying 2D vectors

The magnitude of a 2D vector is found using Pythagoras' theorem for a right angle triangle, given by M = √(a² + b²).

Magnitude of 2D vectors

If vectors are multiples of each other, they are parallel to each other.

Proof with 2D vectors

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